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34020710244 = 22324344948947
BaseRepresentation
bin11111101011110010…
…101101011101100100
310020210221222010221100
4133223302231131210
51024133300211434
623343501520100
72313031160103
oct375362553544
9106727863840
1034020710244
1113478893164
126715573030
1332923882a1
14190a43003a
15d41ae0699
hex7ebcad764

34020710244 has 72 divisors (see below), whose sum is σ = 88194506400. Its totient is φ = 11051615232.

The previous prime is 34020710209. The next prime is 34020710249. The reversal of 34020710244 is 44201702043.

34020710244 is a `hidden beast` number, since 3 + 402 + 0 + 7 + 10 + 244 = 666.

It is not an unprimeable number, because it can be changed into a prime (34020710249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670579 + ... + 719525.

It is an arithmetic number, because the mean of its divisors is an integer number (1224923700).

Almost surely, 234020710244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34020710244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44097253200).

34020710244 is an abundant number, since it is smaller than the sum of its proper divisors (54173796156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34020710244 is a wasteful number, since it uses less digits than its factorization.

34020710244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49449 (or 49444 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 34020710244 in words is "thirty-four billion, twenty million, seven hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 449 516 774 898 1347 1548 1796 2694 4041 5388 8082 16164 19307 38614 48947 57921 77228 97894 115842 146841 173763 195788 231684 293682 347526 440523 587364 695052 881046 1762092 2104721 4209442 6314163 8418884 12628326 18942489 21977203 25256652 37884978 43954406 65931609 75769956 87908812 131863218 197794827 263726436 395589654 791179308 945019729 1890039458 2835059187 3780078916 5670118374 8505177561 11340236748 17010355122 34020710244